Question

Solve for ( x ) in the equation ( frac{4x + 2}{9} = frac{4x}{5} ).

1) ( x = 4 )
2) ( x = 6 )
3) ( x = 5 )
4) ( x = 3 )

Answer 1

To solve the given equation, we applied cross-multiplication and found that x equals 0.625, which is not listed in the provided multiple-choice options.

Step-by-step explanation:

To solve the equation (&frac{4x + 2}{9}=&frac{4x}{5}), we need to find the value of x that makes the equation true. To do this, we can apply the cross-multiplication method, giving us (4x + 2)*5 = 4x*9, which simplifies to 20x + 10 = 36x. Subtracting 20x from both sides gives us 10 = 16x, and dividing both sides by 16 yields x = 0.625. It looks like there was an error in the multiple-choice options provided to us, as x = 0.625 (or x = 5/8) is not listed among the options.